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12120212022210 = 23258310733151171
BaseRepresentation
bin1011000001011111010011…
…1011101010001111000010
31120220200101102012120002100
42300113310323222033002
53042034143234202320
641435540514531230
72360441103233325
oct260276473521702
946820342176070
1012120212022210
113953175793396
121438b8a596b16
1369bc147b0386
142dc89b1567bc
1516041b807790
hexb05f4eea3c2

12120212022210 has 96 divisors (see below), whose sum is σ = 31895402954688. Its totient is φ = 3192797473920.

The previous prime is 12120212022209. The next prime is 12120212022227. The reversal of 12120212022210 is 1222021202121.

It is a happy number.

12120212022210 is a `hidden beast` number, since 121 + 202 + 120 + 2 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80099925 + ... + 80251095.

It is an arithmetic number, because the mean of its divisors is an integer number (332243780778).

Almost surely, 212120212022210 is an apocalyptic number.

12120212022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120212022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947701477344).

12120212022210 is an abundant number, since it is smaller than the sum of its proper divisors (19775190932478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12120212022210 is a wasteful number, since it uses less digits than its factorization.

12120212022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162000 (or 161997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12120212022210 its reverse (1222021202121), we get a palindrome (13342233224331).

The spelling of 12120212022210 in words is "twelve trillion, one hundred twenty billion, two hundred twelve million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 7470 10733 21466 32199 53665 64398 96597 107330 151171 160995 193194 302342 321990 453513 482985 755855 890839 907026 965970 1360539 1511710 1781678 2267565 2672517 2721078 4454195 4535130 5345034 6802695 8017551 8908390 12547193 13362585 13605390 16035102 25094386 26725170 37641579 40087755 62735965 75283158 80175510 112924737 125471930 188207895 225849474 376415790 564623685 1129247370 1622518343 3245036686 4867555029 8112591715 9735110058 14602665087 16225183430 24337775145 29205330174 48675550290 73013325435 134669022469 146026650870 269338044938 404007067407 673345112345 808014134814 1212021202221 1346690224690 2020035337035 2424042404442 4040070674070 6060106011105 12120212022210